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15
114
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Sum regularization/ use of generalized functions in Ramanujan master theorem applied to inverse function of $\frac{\sin(x)}x$

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#generating-functions #inverse-function #dirac-delta #regularization #mellin-transform
48
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Continued fraction generating function as a sum

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#combinatorics #generating-functions #continued-fractions
47
Views

On series expansions and valid arguments

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#sequences-and-series #generating-functions #philosophy
93
Views

Log-secant integral using exponential generating function $\int_0^{\pi/2}\log^n(\sec^2 x)\ dx$

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#definite-integrals #recurrence-relations #special-functions #generating-functions
305
Views

Express Hypergeometric series as polynomial

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#combinatorics #generating-functions #hypergeometric-function
56
Views

Eulerian polynomials evaluated in $-1$

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#combinatorics #discrete-mathematics #permutations #generating-functions
50
Views

Generating function from the recursive equation.

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#discrete-mathematics #recurrence-relations #generating-functions #recursion
59
Views

Generating function of $F_{n+1}^2$

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#combinatorics #proof-explanation #generating-functions #fibonacci-numbers
56
Views

Generating series of odd Fibonacci

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#combinatorics #proof-explanation #generating-functions #fibonacci-numbers
103
Views

Looking for generating function of $\sum_{k=0}^{\infty} \frac{a^k}{1-x^k}$

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#combinatorics #generating-functions
38
Views

Kernel Method for Schröder path

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#combinatorics #solution-verification #recurrence-relations #generating-functions
253
Views

Counting positive integer linear inequality solutions with constraints

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#combinatorics #algebra-precalculus #inequality #generating-functions #integer-programming
99
Views

Conjectured recurrence/generating function for a binomial sum

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#combinatorics #summation #recurrence-relations #binomial-coefficients #generating-functions
44
Views

Help evaluating the series ${n/2 + k}\choose{k}$

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#combinatorics #binomial-coefficients #generating-functions
47
Views

How Can I Compute $\sum_{k=1}^n (-1)^{k-1} \binom{n}{k} \dfrac{1}{k}$?

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#calculus #sequences-and-series #summation #binomial-coefficients #generating-functions

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